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This is how the Jargon file describes recursion and we think it does a pretty good of it.
An infinate loop of coding constantly repeating itself is, in the simplest of terms, what recursion is.
Kind of like when you look at yourself in the mirror with another mirror behind you and you see a never ending string of your own reflection.
(You get the picture!)
Here we have the definition of recursion, shown succinctly on this comfy premium funny science hoodie.
In order to understand recursion, one must understand recursion.